Highest Common Factor of 873, 61429 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 873, 61429 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 873, 61429 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 873, 61429 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 873, 61429 is 1.
HCF(873, 61429) = 1
HCF of 873, 61429 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 873, 61429 is 1.
Highest Common Factor of 873,61429 is 1
Step 1: Since 61429 > 873, we apply the division lemma to 61429 and 873, to get
61429 = 873 x 70 + 319
Step 2: Since the reminder 873 ≠ 0, we apply division lemma to 319 and 873, to get
873 = 319 x 2 + 235
Step 3: We consider the new divisor 319 and the new remainder 235, and apply the division lemma to get
319 = 235 x 1 + 84
We consider the new divisor 235 and the new remainder 84,and apply the division lemma to get
235 = 84 x 2 + 67
We consider the new divisor 84 and the new remainder 67,and apply the division lemma to get
84 = 67 x 1 + 17
We consider the new divisor 67 and the new remainder 17,and apply the division lemma to get
67 = 17 x 3 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 873 and 61429 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(67,17) = HCF(84,67) = HCF(235,84) = HCF(319,235) = HCF(873,319) = HCF(61429,873) .
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Frequently Asked Questions on HCF of 873, 61429 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 873, 61429?
Answer: HCF of 873, 61429 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 873, 61429 using Euclid's Algorithm?
Answer: For arbitrary numbers 873, 61429 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.